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Finding the Fourth Proportional to 17,653,478,973,002, 26,480,218,459,504 and 17,653,478,973,002

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Solution

The fourth proportional to 17,653,478,973,002, 26,480,218,459,504 and 17,653,478,973,002 is: 26,480,218,459,504

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,653,478,973,002 : 26,480,218,459,504 = 17,653,478,973,002 : x
  2. Step 2: Convert to fraction form
    17,653,478,973,002/26,480,218,459,504 = 17,653,478,973,002/x
  3. Step 3: Cross multiply
    17,653,478,973,002x = 26,480,218,459,504 × 17,653,478,973,002
  4. Step 4: Simplify right side
    17,653,478,973,002x = 467,467,979,775,353,287,748,878,336
  5. Step 5: Solve for x
    x = 467,467,979,775,353,287,748,878,336/17,653,478,973,002
  6. Step 6: Final answer
    x = 26,480,218,459,504

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.